1041 THEORY OF STRUCTURES - NPTC

1 1041 THEORY OF STRUCTURES7 Hours / Week 14 Weeks 98 HoursUnit 1 17 AND DEFLECTION OF BEAMSD eflected shapes of beams with different support conditions Flexural rigidity and stiffness of beams- Derivation of differential equation of flexure Area moment method Mohr s theorem for slope and deflection of beams Derivation of expressions for maximum slope and maximum deflection of simple standard cases by area moment method for cantilever and simply supported beams subjected to symmetrical UDL & point loads Numerical problems on slope & deflections at salient points from first principles simple CANTILEVERSD efinition of Prop Statically indeterminacy Prop reaction from deflection consideration SF & BM diagrams by area moment method for UDL throughout span.

2 Central and non-central concentrated 2 15 BEAMSI ntroduction to fixed beam sagging & hogging bending moments Determination of fixing moments by area moment method standard cases Fixed beams subjected to symmetrical & unsymmetrical concentrated loads and UDL SF & BM diagrams for supports at the same level (sinking of supports at different levels not included) slope and deflection of fixed beams subjected to symmetrical UDL & concentrated loads by area moment method only s theorem (no proof required) Line or resistance Actual & theoretical arches Different types of arches 3 hinged arches segmental & parabolic arches problems with simple symmetrical loading 320 BEAMS THEOREM OF THREE MOMENTSI ntroduction Definition of indeterminate STRUCTURES General methods of analysis of indeterminate STRUCTURES Clapeyron s theorem of three moments - statement Application of Clapeyron s theorem of three moments for the following cases Problems on two span simply supported ends one end fixed and

3 The other simply supported simply supported with one end overhanging Propped cantilever sketching of SFD & BMD for the above BEAMS MOMENT DISTRIBUTION METHODI ntroduction sign conventions stiffness factor carry over factor Distribution factor Application to continuous beams upto three spans & propped cantilever Problems Portal frames symmetrical frames only (no sway correction) sketching BMD only for beams and 4 16 AND STRUTS :Columns and struts Definition short and long columns End conditions equivalent length Slenderness ratio Axially loaded short column - Axially loaded long column Euler s THEORY of long columns derivation for hinged end conditions other standard cases of end conditions (separate derivations not required) problems Rankine s formula derivation simple BENDING AND DIRECT STRESSES.

4 Introduction Eccentric loading Effects of eccentric loading on STRUCTURES in general and short columns in particular combined direct and bending stresses maximum and minimum stresses problems conditions for no tension Limit of eccentricity Middle third rule core or kern of sections for square, rectangular and circular sections chimneys subjected to uniform wind pressure chimneys of square & circular cross sections only 5 17 DAMSI ntroduction derivation for maximum and minimum stresses stress distribution diagrams Problems Factors affecting stability of masonry dams factor of safety problems on stability minimum base width & maximum height for no tension Elementary profile of a dam Minimum base width of elementary profile for no PRESSURE AND RETAINING WALLSD efinition Angle of repose state of equilibrium of soil

5 Active and passive earth pressure Rankine s THEORY of earth pressure Assumptions lateral earth pressure with level back fill level surcharge earth pressure due to soils Retaining walls with vertical back only maximum and minimum stresses stress distribution diagrams problems stability of earth retaining walls problems to check & Test 13 HoursReference Books of STRUCTURES by S. of STRUCTURES by Punmia, Ashok Jain & Arun Determinate STRUCTURES part 1 by of STRUCTURES ( ) by of STRUCTURES by Vazirani & MM. THEORY of STRUCTURES by of materials by FV.

6 Warnock1042 - HYDRAULICS7 Hours/week 14 weeks 98 HoursUNIT 1. 18 Hours Introduction: Hydraulics-definition-properties of fluids - mass, force, weight, specific volume, specific gravity, specific weight, density, relative density, compressibility, viscosity, cohesion, adhesion, capillarity and surface tension-dimensions and units of area, volume, specific volume, velocity, acceleration, density, discharge, force, pressure and Measurement of Pressure.

7 Pressure Pascal s law of fluid pressure at a point types-static pressure, absolute pressure, atmospheric pressure, vacuum or negative gauge pressure-intensity of pressure and pressure and pressure head-conversion from intensity of pressure to pressure head-formula and simple problems-measurement of pressure-atmospheric pressure-simple mercury barometer-pressure measuring devices-peizometer tube-simple U tube manometer-differential Hydrostatic Pressure on Surfaces: Pressure on plane surfaces-horizontal, vertical and inclined surfaces-total pressure-center of pressure-depth of center of pressure-resultant pressure-practical application s-sluice gates, lock gates, problems.

8 UNIT - 2 18 Hours Flow of fluids: Types of flow steady and unsteady flow laminar and turbulent flow uniform flow equation for continuity of flow (law of conservation of mass) Energy possessed by a fluid body-Potential energy and potential Head-Pressure energy and Pressure Head-Kinetic Energy and Kinetic Head- Energy equation Bernoulli s theorem-problems-Venturimeter- Orificemeter- simple Flow through orifices and mouthpieces.

9 Definitions types of orifices and mouthpieces with sketches small orifices vena contracta and its significance hydraulic coefficients Cd, Cv and Cc-Simple problems- Large orifice Definition Discharge formula derivation Drowned orifice Definition - formula for finding the discharge of a fully submerged and partially submerged orifice simple problems practical applications of orifices. Mouthpieces- types- External and internal mouthpieces -Practical Cd values -Discharge formula and 3 18 Hours Flow through notches: Definitions- Types of Notches rectangular, triangular and trapezoidal notches Discharge derivation- Simple problems- Comparison of V-Notch and Rectangular Flow through Weirs.

10 Definitions- Classifications of weirs- Discharge over a rectangular weir Derivation simple problems End contractions of a weir Franci s formula simple problems Trapezoidal weir simple problems - Cippoletti weir Problems - Narrow crested weir - Sharp crested weir with free over fall- Broad crested weir- submerged weir- Definition of terms -Crest of sill, nappe or vein, Free discharge, drowned or submerged weirs, suppressed weir Stepped weir Velocity of approach Spillways and Siphon 4 18 Flow through pipes.